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This book contains a collection of Haiku poems compiled by Florentin Smarandache.

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...SILENCE'S BELL by Florentin Smarandache (non-standard haiku poems, translated from Romanian by Stefan B... ...fa of dreams. - Do not wait for me, I'll linger a little among the stars. Florentin Smarandache, a Poet with the Dot under the I ... ...ams. - Do not wait for me, I'll linger a little among the stars. Florentin Smarandache, a Poet with the Dot under the I ... ...or of these lines is confronted with two assertions. The first one: who is Florentin Smarandache? The second: the poet has no biography; his poetry is... ...s poetry is his biography. But the latter assertion comes to eliminate the former and, the problem of choice is no longer a problem. However, when wou... ...book at the Romanian publishing houses. But this "happy regime" is not for Florentin Smarandache, who from 15 titles could see only two books publish... ...Paradoxist Movement". The editorial debut was made by the volume of poems "Formule pentru spirit" (" Formulae for the Spirit" ), Bucharest, Editura " ... ...roon. Radiographing his volumes of poetry, suggestively entitled Nonpoems, Formulae for the Spirit, The Sense of the non­sense, and others, we discove... ...des and the acids of the words used by Alecsandri and working with modern, cyclic complexes of the language, so coming without any difficulty to the e...

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...IEREA CIP A BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 c... ...BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 cm. Bibliogr... ... Tehnoredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MIC... ...noredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MICI ... ... - ca un protest anti- totalitar - de scriitorul disident şi matematicianul Florentin Smarandache prin anii 1980, (ulterior, exilat în America), şi b... ... I allowed any boldness: - anti-literature and its literature; - flexible forms fixed, or the alive face of the death! - style of the non-style; -... ...r used, but very concrete at the same time: non-restrictive verse from any form or content. It takes advantage of cliche against itself. 10 EVER... ...florescendo! E 12 nós fazemos escárnio da criação, do senso inverso, de forma sincrética. Ent āo o paradoxismo nascia. As piadas do povo, uma... .... And again they come back to life with a “neo” prefix art, because art is cyclic. Let`s catch the paradoxism in art – an avante-garde movement I ...

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...erature, art, philosophy, science, based on excessive used of antitheses, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980’s who said: “The goal is to enlargement of theartisti shere through non-artistic elements. But expecially the countertime, counter-sense creation. Also, to experiment.”...

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...IEREA CIP A BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 c... ...BIBLIOTECII NA ŢIONALE ULTRAPOLEMICI cu LiTeRe mari ÕI MICI / Smarandache Florentin / R >mnicu V >lcea: Offsercolor, 2002 129 p.; 20 cm. Bibliogr... ... Tehnoredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MIC... ...noredactare computerizat ă: Ion CIOBANU şi Bogdan COSCARU 3 Florentin SMARANDACHE ULTRAPOLEMICI cu LiTeRe mari şi MICI ... ... - ca un protest anti- totalitar - de scriitorul disident şi matematicianul Florentin Smarandache prin anii 1980, (ulterior, exilat în America), şi b... ... I allowed any boldness: - anti-literature and its literature; - flexible forms fixed, or the alive face of the death! - style of the non-style; -... ...r used, but very concrete at the same time: non-restrictive verse from any form or content. It takes advantage of cliche against itself. 10 EVER... ...florescendo! E 12 nós fazemos escárnio da criação, do senso inverso, de forma sincrética. Ent āo o paradoxismo nascia. As piadas do povo, uma... .... And again they come back to life with a “neo” prefix art, because art is cyclic. Let`s catch the paradoxism in art – an avante-garde movement I ...

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...to applications. With the recent introduction of bimatrices (2005) we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures....

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...In this section we give the definition of linear algebra and just state the few important theorems like Cayley Hamilton theorem, Cyclic Decomposition Theorem, Generalized Cayley Hamilton Theorem and give some properties about linear algebra....

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...6, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico... ...sore, Karnataka, India. Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. ... ...ent in every manner made this book possible. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One I... ...a and just state the few important theorems like Cayley Hamilton theorem, Cyclic Decomposition Theorem, Generalized Cayley Hamilton Theorem and giv... ...nimal polynomial divides the characteristic polynomial for T. THEOREM: (CYCLIC DECOMPOSITION THEOREM): Let T be a linear operator on a finite dim... ... respect to the inner product 〈 〉. We just recall the notion of quadratic form. The quadratic form determined by the inner product is the functio... ...}. Clearly B generates a linear algebra. But all subsets of A do not 18 form a S-basis of V, so A is not a S-strong basis of V but only a S-basis... ...r. Using the new pseudo inner product once again we will have the modified form of spectral theorem. That is, the Smarandache spectral theorem which... ... G 1 = Q \ {0} with usual multiplication and G 2 = 〈 g | g 2 = I 〉 be a cyclic group of order two. Clearly G is a commutative bigroup. We say th...

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...allup 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIO... ... 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIONAL CONFE... ...nted edition) 2002 This book can be ordered in microfilm format from: Books on Demand ProQuest Information & Learning... ...co Contributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Ga... ...ntributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Gallup, NM 8... ...ophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics) Florentin Smarandache Department of Mathematics University of New Me... ...s. In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a branch of mathematical logic, that ri... ...e infinitesimals. Informally, an infinitesimal is an infinitely small number. Formally, x is said to be infinitesimal if and only if for all positi... ... attractor. Within this perspective there are three types of attractor: point, cyclic and strange (or chaotic). Simplifying a little, the first assu...

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...N 1-879585-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEU... ...script from the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philo... ...ables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement ... ...I allowed any boldness: - anti-literature and its literature; - flexible forms fixed, or the alive face of the death! - style of the non-style; - ... ...r used, but very concrete at the same time: non-restrictive verse from any form or content. It takes advantage of cliche against itself. EVERYTHING I... ... 1998]. (1999-12-14) 3.4. Neutrosophic Probability: <logic> An extended form of probability based on Neutrosophy, in which a statement is held to b... ...ween any two categories. N) Evolution of an Idea <A> in the world is not cyclic (as Marx said), but discontinuous, knotted, boundless: <Neut-A> = ... ...s justifying to me an American friend kept by his wife henpecked! A cyclic social development. The woman becomes the center of the societ... ...ple to complex and from homogeneous to heterogeneous, can be updated to a cyclic movement: - from simple to complex and back to simple - since any c...

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...0036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mex... ..., Alaska, USA. Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K.Ilanthenral Layout by Kama Kandas... ...rt Kosko, the father of Fuzzy Cognitive Maps. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.ILANTHENRAL 7 Chapter One ... ...te that the vertices of the bigraphs i.e. G = G 1 ∪ G 2 in general need not form disjoint subsets of G such that 12 GG ∩ =φ . In the above exa... ...will be called as the mixed trimatrix. Example 2.1.37: The trimatrix of the form A = 30 01 20 11 01 00 − ⎡⎤⎡⎤⎡⎤ ∪∪ ⎢⎥⎢⎥⎢⎥ ⎣⎦⎣⎦⎣⎦ will be c... ...l be called as a 2 × 2 square trimatrix. Example 2.1.38: A trimatrix of the form A = 31 11 10 01 00 10 11 00 10 ⎡⎤⎡⎤⎡⎤ ⎢⎥⎢⎥⎢⎥ ∪∪ ⎢⎥⎢⎥⎢⎥ ⎢⎥⎢⎥⎢⎥... ... the FCM (i ≠ j). Then the edges form a directed cycle. An FCM is said to be cyclic if it possesses a directed cycle. An FCM is said to be acyclic ... ...and G 3 connected by the vertex P 4 such connected trigraphs are called as cyclically connected trigraphs. Now we just give the separated dire... ... Let the edges of the bigraph form a directed bicycle. An FRBM is said to be cyclic if it possesses a directed cycle. An FRBM is said to be acyclic...

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...ers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online. Abstract and the necessary information about author(s) should be included int...

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...20sec. Stable states of unmatter can be built on quarks and anti-quarks: applying the unmatter principle here it is obtained a quantum chromodynamics formula that gives many combinations of unmatter built on quarks and anti-quarks....

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... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ...atter by Experiments, More Types of Unmatter, and a Quantum Chromodynamics Formula. . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Informa... ...blem and obtained results. All submissions should be designed in L A T E X format using Progress in Physics template. This template can be downloaded ... ...aches it by means of an ad hoc extension in the ludicrous Kruskal-Szekeres formulation. However, the standard assumptions are incorrect, which I shall... ... ⇒ x=0 (6) [x,[y,z]]+[y,[z,x]]+[z,[x,y]]=0. (7) The last one is the Jacobi cyclic identity. If{e i } is a vector basis inE 2n , the antiscalar product... ...]σ +Γ ρ λ[μ ,Γ λ ν]σ . (119) Furthermore, (anti) commutation relations and cyclic identities (in particular Bianchi’s identities) hold for the Riemann... ...d in the General Theory of Relativity Dmitri Rabounski, Larissa Borissova, Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ... Experiments, More Types of Unmatter, and a Quantum Chromodynamics Formula Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C...

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...ers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online. Abstract and the necessary information about author(s) should be included int...

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... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ... Quasi-Paradoxes and Quantum Sorites Paradoxes. . . 7 F. Smarandache A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles. . . . ... ...blem and obtained results. All submissions should be designed in L A T E X format using Progress in Physics template. This template can be downloaded ... ...e best? Really, the result- ing d’Alembert equations are derived from that form of the Ricci tensor obtained under the substantial simplifcations of h... ... IN PHYSICS Volume 1 Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ... A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...hese norms are invariant underC-space Lorentz trans- formations due to the cyclic property of the trace operation and RR −1 =1. If one writes the inva... ... † X> s =||X 2 ||, (16) where once again, we made use of the analog of the cyclic property of the trace, <RX † XR −1 > s = <X † X> s . This way of rew...

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...This book contains 23 papers, most of which were written by participants to the fifth International Conference on Number Theory and Smarandache Notions held in Shangluo University, China, in March, 2009. In this Conference, several professors gave a talk on Smarandache Notions and many participants lectured on them both extensively and intensively. All th...

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...ed the problem of finding the S-perfect and completely S-perfect numbers, but his proof is not complete. He has proved that the only S-perfect of the form n = p q is n = 6 and there is no S-perfect number of the form n = 2kq where k ¸ 2 is an integer and q is an odd prime. On the other hand, Theorem 2.1 gives all the S-perfect numbers. Again, Sandor only proved that, the o...

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...J. Wang : An equation related to the Smarandache power function 1 X. Lu and J. Hu : On the F.Smarandache 3n-digital sequence 5 B. Cheng : An equation involving the Smarandache double factorial function and Euler function 8 A. A. K. Majumdar : S-perfect and c...

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...origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. This was introduced by one of the authors, Florentin Smarandache. A few of the mentionable characteristics of this mode of thinking are [90-94]: It proposes new philosophical theses, principles, laws, methods, formulas and movements; it reveals that the world is full ...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY COGNITIVE MAPS AND NEUTROSOPHIC COGNITIV... ...ology, Madras Chennai – 600036, India E-mail: vasantha@iitm.ac.in Florentin Smarandache Department of Mathematics University of New Mexico ... ...ersity, Australia. Copyright 2003 by W. B. Vasantha Kandasamy, Florentin Smarandache, and Xiquan, 510 E. Townley Ave., Phoenix, AZ 85020,... ...[90-94]: It proposes new philosophical theses, principles, laws, methods, formulas and movements; it reveals that the world is full of indeterminacy... ...-A>, there is a continuum-power spectrum of Neutralities. This philosophy forms the basis of Neutrosophic logic. Neutrosophic logic grew as an a... ...ology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network... ...e FCM (i ≠ j). Then the edges form a directed cycle. An FCM is said to be cyclic if it possesses a directed cycle. An FCM is said to be acyclic if i... ...es of the NCM. Then the edges form a directed cycle. An NCM is said to be cyclic if it possesses a directed cyclic. An NCM is said to be acyclic if ... ...ined FRM, 94 Combined NCMs, 136 Combined NRM, 171 Connection matrix, 8 Cyclic FRM, 93 Cyclic NCM, 135 Cyclic NRM, 170 D Density equation, ...

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...36, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexic... ...re, Karnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by Mee... ...nderstand this new subject. The authors are grateful to Ilanthenral for formatting the book and drawing all the graphs and diagrams in this book... ...standing of Periyar's ideology and approach. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE 7 Chapter One Introduction to So... .... A study of these basis and its relations happens to be an interesting form of research. DEFINITION 1.2.6: Let G(I) be a neutrosophic vector ... ...in the representation of Binary relations on a single set. Thus one of the forms of representation of a fuzzy relation R(X, X) is represented by th... ... a connected simple graph containing at least two disjoint cycles. Then the cyclical edge connectivity of G is defined to be the minimum number of e... ...rom 3 to n. G is called vertex pancyclic if each vertex υ of G belongs to a cyclic of every length l, 3 ≤ l ≤ n. The following graph is an examp... ...e graph with a cut-edge then χ' (G) = 4. DEFINITION 2.7.10: A snark is a cyclically 4-edge connected cubic graph of girth at least 5 and has chro...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS... ..., India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico ... ...ad, Andhra Pradesh, India Copyright 2004 by W. B. Vasantha Kandasamy, Florentin Smarandache, and Xiquan, 510 E. Townley Ave., Phoenix, AZ 85020 ... ...naire used in interviewing these migrant labourers. The questionnaire was formatted with the help of Dr. K. Kandasamy. Appendix 2 gives the table of... ...ragement. We are indebted to Ms.Kama Kandasamy who had taken all pains to format, verify the equations and design the books. We deeply acknowledge t... ... services of Dr.K.Kandasamy who had done a lot of background work and for formatting such a scientific linguistic questionnaire without which we wou... ...e FCM (i ≠ j). Then the edges form a directed cycle. An FCM is said to be cyclic if it possesses a directed cycle. An FCM is said to be acyclic if i... ...es of the NCM. Then the edges form a directed cycle. An NCM is said to be cyclic if it possesses a directed cyclic. An NCM is said to be acyclic if ... ...rlap Block NCM (CDBNCM), 13 Combined Overlap Block NRM (CDBNRM), 13, 301 Cyclic, 41-42 Directed cycle, 41-42, 134 Directed graph, 39 Diverse cl...

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...a Kandasamy e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail: smarand@unm.edu K. Kandasamy e-... ...y e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail: smarand@unm.edu K. Kandasamy e-mail: dr.... ...Karnataka, India Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K. Kandasamy Cover Design and Lay... ...to working for the rights of the subjugated people. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.KANDASAMY 26-11-2005 9 Chapter On... ... 2 C C j i C C C C , , 4 3 … be the edges of the FCM (i ≠ j). Then the edges form a directed cycle. An 12 FCM is said to be cyclic if it possesse... ... FCM (i ≠ j). Then the edges form a directed cycle. An 12 FCM is said to be cyclic if it possesses a directed cycle. An FCM is said to be acyclic ... ...FINITION 1.1.11: If the FCM settles down with a state vector repeating in the form A 1 → A 2 → … → A i → A 1 then this equilibrium is called a l... ... D i ) be the edges of an FRM, j = 1, 2,…, m and i= 1, 2,…, n. Let the edges form a directed cycle. An FRM is said to be a cycle if it posses a di... ...edges of the NCM. Then the edges form a directed cycle. An NCM is said to be cyclic if it possesses a directed cyclic. An NCM is said to be acyclic...